λ
Harmonic Matrix

3,803,337

32 × 109 × 3877
Deficient Odd Composite

3,803,337 has digital root 9. The neighboring primes are 3803329 and 3803339; its proper-divisor sum differs from the starting integer by -2,061,134.

Prime Factor Structure

Factorization String 3^2 × 109 × 3877
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,545,540
Proper Divisor Sum 1,742,203
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3803329 ← → #3803339

Radix Representation

Decimal 3803337
Binary 1110100000100011001001 (22 bits)
Octal 0o16404311
Hexadecimal 0x3A08C9

Divisor Catalog (12)

1 3 9 109 327 981 3,877 11,631 34,893 422,593 1,267,779 3,803,337

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,803,337 11,410,012 5,705,006 2,852,503 8,557,510 4,278,755 12,836,266 6,418,133 19,254,400 9,627,200 4,813,600 2,406,800 1,203,400 601,700 300,850 150,425 451,276 225,638 112,819 338,458 169,229 507,688 253,844 126,922 63,461 190,384 95,192 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674

More profiles

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